The Young's modulus of a wire of length L and radius r is Y. If the length is reduced to $\frac{\mathrm{L}}{2}$ and radius $\frac{\mathrm{r}}{2}$ then the Young's modulus will be

• A

  $\frac{\mathrm{Y}}{2}$

• B

  Y

• C

  2Y

• D

  4Y